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Article . 2024
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Article . 2024 . Peer-reviewed
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Some remarks on generalizations of the reverse order law in a *-ring

Some remarks on generalizations of the reverse order law in a \(\ast\)-ring
Authors: Rahmani, Hamideh; Mirmostafaee, Alireza Kamel;

Some remarks on generalizations of the reverse order law in a *-ring

Abstract

The authors show that under a suitable condition certain reverse order laws are equivalent. Furthermore, by investigating a reverse order law in rings with involution, they show that under suitable assumptions a certain inclusion is always an equality.

Keywords

idempotent element, group inverse, EP element, Generalized inverses (associative rings and algebras), left *-cancelable, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Theory of matrix inversion and generalized inverses, reverse order law, Moore-Penrose inverse

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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